2017/12/06 by Hyungjoon Soh, Joo Hyung Hong, Soh, Hyungjoon +5 · 1 citation
Arts and Humanities · Computer Science · Neuroscience · Physics and Astronomy · Psychology · #Cognition #Computer science #FOS: Computer and information sciences #FOS: Physical sciences #Folklore, Mythology, and Literature Studies #Long-term memory #Memory, Trauma, and Commemoration #Neuroscience #Physics #Physics and Society (physics.soc-ph) #Popularity #Psychology #Social and Information Networks (cs.SI) #Social psychology #Term (time) #cs.SI #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.1712.02234
published in arXiv (Cornell University) (Cornell University) · 9 pages, 11 figures
arxiv created 2017/12/06 · openalex publication_date 2017/12/06 · arxiv updated 2017/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Popularity describes the dynamics of mass attention, and is a part of a broader class of population dynamics in ecology and social science literature. Studying accurate model of popularity is important for quantifying spreading of novelty, memes, and influences in human society. Although logistic equation and similar class of nonlinear differential equation formulates traditional population dynamics well, part of the deviation in long-term prediction is stated, yet fully understood. Recently, several studies hinted a long-term memory effect on popularity whose response function follows a power-law, especially that appears on online mass media such as YouTube, Twitter, or Amazon book sales. Here, we investigate the ranking of most popular music, the Billboard Hot 100 chart, which is one of the largest popularity dataset spanning several decades. Using a popularity model that comprises logistic growth and a power-law decaying long-term memory, we showed that rank history is mainly characterized by initial popularity and memory strength. With this framework, we investigated temporal development of long-term memory on the whole popularity dynamics. As a result, abrupt emergence of long-term memory and broad initial popularity is illustrated, which was not clearly detected by time-independent measures. We emphasize not only development of the mass media, but also the difference of spreading and accumulated popularity affect dynamics significantly when the popularity has long-term memory.